Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MV

Notes on the module handbook of the department Mechanical and Process Engineering

Die hier dargestellten veröffentlichten Studiengang-, Modul- und Kursdaten des Fachbereichs Maschinenbau und Verfahrenstechnik ersetzen die Modulbeschreibungen im KIS und wuden mit Ausnahme folgender Studiengänge am 28.10.2020, bzw. am 13.01.2021 verabschiedet.

Ausnahmen:

Module MV-MTS-261-M-4

Systems Theory (M, 3.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MV-MTS-261-M-4 Systems Theory 3.0 CP (90 h)

Basedata

CP, Effort 3.0 CP = 90 h
Position of the semester 1 Sem. in SuSe
Level [4] Bachelor (Specialization)
Language [DE] German
Module Manager
Lecturers
Area of study [MV-MTS] Measurement and Sensor Technology
Reference course of study [MV-88.659-SG] M.Sc. Mechanical Engineering with a minor in Applied Computer Science
Livecycle-State [NORM] Active

Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
2V+1U MV-MTS-86605-K-4
Systems Theory
P 42 h 48 h - - PL1 3.0 SuSe
  • About [MV-MTS-86605-K-4]: Title: "Systems Theory"; Presence-Time: 42 h; Self-Study: 48 h

Examination achievement PL1

  • Form of examination: written or oral examination
  • Examination Frequency: each semester
  • Examination number: 10605 ("Systems Theory")
    written (90-120 minutes) or oral (30- 45 minutes) examination (depending on the number of participants)

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

  • Continuous time, linear time-invariant systems (LTI, causal systems, convolution)
  • Continuous time Fourier series and Fourier transformation (derivation, properties, correlations)
  • Discrete-time linear shift-invariant systems (LSI, causal system, convolution sum)
  • Discrete-time Fourier series and Fourier transformation (derivation, properties, correlations, interpolation, decimation)
  • Discrete Fourier transformation (DFT, fast Fourier transformation, zero padding, window function)
  • The Z transformation
  • Scanning of continuous time signals (correlations CTFT and DTFT, scan theorem, reconstruction of discrete-time signals, discrete-time processing of continuous time signal)
  • Discrete-time filters (FIR and IIR filter, CIC filter)

Competencies / intended learning achievements

1. Lecture

Students are able to

  • Describe linear, time-invariant systems
  • Derive continuous-time Fourier series (CTFS) and transformation (CTFT) and describe their properties
  • Describe discrete-time shift-invariant systems
  • Derive discrete-time Fourier series (DTFS) and transformation (DTFT) and describe their properties
  • Explain the effect of interpolation and decimation of a series of numbers on the frequency spectrum
  • Motivate and derive the discrete Fourier transformation (DTF) and describe the correlations to DTFT and DTFS

2. Practice

Students are able to

  • Calculate convolution integrals
  • Calculate the Fourier series and Fourier transformation of periodic and aperiodic continuous time signals
  • Calculate convolution sums
  • Calculate the Fourier series and Fourier transformation of periodic and aperiodic series of numbers
  • Expand and decimate series of numbers

Literature

  • A. V. Oppenheim und A. S. Wilsky, Signale und Systeme, VCH Verlag 1992

Requirements for attendance of the module (informal)

Recommended:

Modules:

Requirements for attendance of the module (formal)

None

References to Module / Module Number [MV-MTS-261-M-4]

Course of Study Section Choice/Obligation
[MV-82.103b-SG#2022] B.Sc. Maschinenbau 2022 [2022] [Specialisation] Wahlpflichtbereich / Kompetenzfelder [WP] Compulsory Elective
Module-Pool Name
[MV-ALLG-2022-MPOOL-6] Wahlpflichtmodule Master allgemein 2022
[MV-ALL-MPOOL-6] Wahlpflichtmodule allgemein
[MV-MB-2022-MPOOL-4] Wahlplichtmodule Bachelor Maschinenbau
[MV-MB-INF-2022-MPOOL-6] Wahlpflichtmodule M.Sc. Maschinenbau mit angewandter Informatik 2022
[MV-MBINFO-MPOOL-6] Wahlpflichtmodule Maschinenbau mit angewandter Informatik